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Finding the Fourth Proportional to 102,493.61, 141,441.40 and 57,170.42

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Solution

The fourth proportional to 102,493.61, 141,441.40 and 57,170.42 is: 78,895.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,493.61 : 141,441.40 = 57,170.42 : x
  2. Step 2: Convert to fraction form
    102,493.61/141,441.40 = 57,170.42/x
  3. Step 3: Cross multiply
    102,493.61x = 141,441.40 × 57,170.42
  4. Step 4: Simplify right side
    102,493.61x = 8,086,264,772.87
  5. Step 5: Solve for x
    x = 8,086,264,772.87/102,493.61
  6. Step 6: Final answer
    x = 78,895.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.